16-(n-8)=3n+14-2n

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Solution for 16-(n-8)=3n+14-2n equation:


Simplifying
16 + -1(n + -8) = 3n + 14 + -2n

Reorder the terms:
16 + -1(-8 + n) = 3n + 14 + -2n
16 + (-8 * -1 + n * -1) = 3n + 14 + -2n
16 + (8 + -1n) = 3n + 14 + -2n

Combine like terms: 16 + 8 = 24
24 + -1n = 3n + 14 + -2n

Reorder the terms:
24 + -1n = 14 + 3n + -2n

Combine like terms: 3n + -2n = 1n
24 + -1n = 14 + 1n

Solving
24 + -1n = 14 + 1n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-1n' to each side of the equation.
24 + -1n + -1n = 14 + 1n + -1n

Combine like terms: -1n + -1n = -2n
24 + -2n = 14 + 1n + -1n

Combine like terms: 1n + -1n = 0
24 + -2n = 14 + 0
24 + -2n = 14

Add '-24' to each side of the equation.
24 + -24 + -2n = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -2n = 14 + -24
-2n = 14 + -24

Combine like terms: 14 + -24 = -10
-2n = -10

Divide each side by '-2'.
n = 5

Simplifying
n = 5

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